Rush has now announced, in a press conference, that he has filed defamation proceedings in the Federal Court of Australia against the Daily Telegraph.
"It is an action I am taking in order to address the slurs, innuendo and hyperbole that they have created around my standing in the entertainment industry and in the greater community".
The Oscar-winning actor Geoffrey Rush has launched defamation proceedings against the Sydney Daily Telegraph, accusing the paper of splashing "spurious claims with bombastic titles on their front pages".
"The situation is intolerable and I must seek vindication of my good name through the courts".
It comes after the Oscar victor stood down from his role as president of the Australian Academy of Cinema and Television Arts in light of the allegations.
Rush did not take questions from the media.
Rush fronted media for the first time since The Daily Tele ran the allegations, speaking from the building of his legal counsel. The company has released no details of the complaint other than it alleged "inappropriate behaviour " while Rush was an employee and was not raised until after he had left.
Rush denied the allegations on that day, saying he had not been informed by the STC of the existence, or the nature, of the complaint.
Wonder Wheel is Woody Allen's most autobiographical film in years, unfortunately
Dylan accused Allen of molesting her in a letter published in The New York Times in 2014, the year Allen was awarded the Cecil B. I'm convinced, though, that Allen is oblivious to his script containing such revealing parallels to his own life.
Rush resigned as AACTA president following the claims.
Rush said his wife, daughter and son had also been hurt by the allegations.
Rush won the Academy Award for Best Actor for the 1996 film Shine, in which he played celebrated concert pianist David Helfgott.
He's went on to become one of Australia's biggest and most respected Hollywood exports, starring in Shakespeare in Love, Elizabeth and The King's Speech.
The Daily Telegraph editor Chris Dore said they would be defending the newspaper's reporting in court.
"We don't have our have a trial date yet, this has only been set up this afternoon".
The Daily Telegraph is owned by News Corporation, the publisher of this website.